which of the following are reasonable answer for the product of two negatives and a positive

Question

a. 20**
b. 10
c. -20
d. -10

Which statement about the product is true
5.5⋅√5

a. The product is rational
b. The product is irrational****
c. The product is neither rational nor irrational
d. There is not enough information provided to answer the question

Which of the following cereals is the best buy?

28 oz of cereal for $4.29
32 oz of cereal for $4.59***
36 oz of cereal for $4.79
24 oz of cereal for $3.59

Which sum will be irrational
3+2
√19+7/2
18/3+11/10,000
-6+(-3.251)****

which product will be rational
17.12(line over 12) * 33--****
√3 * 9 check mark in front of 9
4* pie
- checkmark 20 * 15

Please help

Answer 1

In the given options,

a. 20 - This is not a reasonable answer for the product of two negatives and a positive because multiplying two negatives will always result in a positive number.

b. 10 - This is not a reasonable answer for the product of two negatives and a positive because multiplying two negatives will always result in a positive number.

c. -20 - This is a reasonable answer for the product of two negatives and a positive because multiplying two negatives will result in a positive number, and then multiplying it by a positive number will keep the result negative.

d. -10 - This is not a reasonable answer for the product of two negatives and a positive because multiplying two negatives will always result in a positive number.

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Regarding the statement 5.5 * √5,

a. The product is rational - This statement is false because the product involves an irrational number (√5) and multiplying a rational number with an irrational number will always result in an irrational number.

b. The product is irrational - This statement is true because multiplying a rational number with an irrational number will always result in an irrational number.

c. The product is neither rational nor irrational - This statement is false. The product can only be rational or irrational.

d. There is not enough information provided to answer the question - This statement is false. Sufficient information is given to determine that the product is either rational or irrational.

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Out of the given options for the cereals, the best buy would be:

28 oz of cereal for $4.29
32 oz of cereal for $4.59***
36 oz of cereal for $4.79
24 oz of cereal for $3.59

The best buy would be the option with the lowest cost per ounce. In this case, the best buy would be the 32 oz of cereal for $4.59.

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Among the given options for the sum,

3+2 - This is a rational number because it can be expressed as the fraction 5/1.

√19+7/2 - This is an irrational number because it involves taking the square root of a non-perfect square (√19).

18/3+11/10000 - This is a rational number because it can be expressed as the fraction 18000/3000.

-6+(-3.251) - This is a rational number because it can be expressed as the fraction -6251/1000.

Therefore, the sum that will be irrational is √19+7/2.

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Regarding the products,

17.12(line over 12) * 33-- - This is a rational number because it can be expressed as a fraction.

√3 * 9 - This is an irrational number because it involves taking the square root of a non-perfect square (√3).

4 * π - This is an irrational number because π is an irrational number.

-√20 * 15 - This is a rational number because it involves multiplying a negative number with the square root of a non-perfect square (√20).